Some new retarded nonlinear integral inequalities and their applications in differential-integral equations

被引：8
|
作者：
Wang, Wu-Sheng [2 ]
Zhou, Xiaoliang [1 ]
Guo, Zhonghai [3 ]
机构：
[1] Guangdong Ocean Univ, Dept Math, Zhanjiang 524088, Peoples R China
[2] Hechi Univ, Dept Math, Yizhou 546300, Guangxi, Peoples R China
[3] Xinzhou Teachers Univ, Dept Math, Xinzhou 034000, Shanxi, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2012年 / 218卷 / 21期
基金：
中国国家自然科学基金;
关键词：
Gronwall-Bellman-Pachpatte inequality; Inequality technique; Retarded differential-integral equation; Estimation; GRONWALL-LIKE INEQUALITY; 2; VARIABLES;
D O I：
10.1016/j.amc.2012.04.046
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we discuss some new retarded nonlinear Gronwall-Bellman-Pachpatte integral inequalities and give upper bound estimation of the unknown function by integral inequality technique. Our results generalize those of Abdeldaim and Yakout [A. Abdeldaim, M. Yakout, On some new integral inequalities of Gronwall-Bellman-Pachpatte type, Appl. Math. Comput. 217 (2011) 7887-7899] to some inequalities with both retarded argument and nonlinear integrand. An application to estimate the solutions of differential-integral equations is also given. (C) 2012 Elsevier Inc. All rights reserved.
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页码：10726 / 10736
页数：11
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